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Some Geometric Properties of Generalized Cesàro–Musielak–Orlicz Sequence Spaces

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Mathematics and Computing 2013

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 91))

Abstract

A generalized Cesàro–Musielak–Orlicz sequence space \(Ces_\Phi (q)\) equipped with the Luxemberg norm is introduced. It is proved that \(Ces_\Phi (q)\) is a Banach space and also criteria for the coordinatewise uniformly Kadec–Klee property and the uniform Opial property are obtained.

The authors are very much thankful to the anonymous reviewers for their valuable comments, which improved the presentation of the paper. First author is grateful to CSIR, New Delhi, Government of India for the research fellowship with award no. 09/081(0988)/2009-EMR-I during this work.

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Authors and Affiliations

  1. Indian Institute of Technology Kharagpur, Kharagpur, 721302, India

    Atanu Manna & P. D. Srivastava

Authors
  1. Atanu Manna
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  2. P. D. Srivastava
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Correspondence to Atanu Manna .

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Editors and Affiliations

  1. Department of Mathematics, University of Central Florida, Orlando, Florida, USA

    Ram N. Mohapatra

  2. Dept of Computer Science & Engineering, Haldia Institute of Technology, Haldia, India

    Debasis Giri

  3. Ministry of Defence, Scientific Analysis Group, Defence Research and Development Organisation, New Delhi, Delhi, India

    P. K. Saxena

  4. Department of Mathematics, India Institute of Technology, Kharagpur, West Bengal, India

    P. D. Srivastava

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Manna, A., Srivastava, P.D. (2014). Some Geometric Properties of Generalized Cesàro–Musielak–Orlicz Sequence Spaces. In: Mohapatra, R., Giri, D., Saxena, P., Srivastava, P. (eds) Mathematics and Computing 2013. Springer Proceedings in Mathematics & Statistics, vol 91. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1952-1_19

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